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Finding the Third Proportional to 177,406 and 387,589

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Solution

The third proportional to 177,406 and 387,589 is: 846,787.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,406 : 387,589 = 387,589 : x
  2. Step 2: Convert to fraction form
    177,406/387,589 = 387,589/x
  3. Step 3: Cross multiply
    177,406x = 387,589 × 387,589
  4. Step 4: Simplify right side
    177,406x = 150,225,232,921
  5. Step 5: Solve for x
    x = 150,225,232,921/177,406
  6. Step 6: Final answer
    x = 846,787.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.